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Finding the Third Proportional to 106,218 and 230,148

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Solution

The third proportional to 106,218 and 230,148 is: 498,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,218 : 230,148 = 230,148 : x
  2. Step 2: Convert to fraction form
    106,218/230,148 = 230,148/x
  3. Step 3: Cross multiply
    106,218x = 230,148 × 230,148
  4. Step 4: Simplify right side
    106,218x = 52,968,101,904
  5. Step 5: Solve for x
    x = 52,968,101,904/106,218
  6. Step 6: Final answer
    x = 498,673.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.